Suppose that 23% of people own dogs If you pick two people at random, what is the probability that they both own a dog? (Let me add that we don’t know the
populations size so calculate the probability as if the population is infinite.)

The correct answer is - 0.0529 or 5.29%

Step-by-step explanation:

Given:

The people own dogs = 23%

total population = infinite

Solution:

if you choose a random person, the probability that they own a dog

= 23% or 0.23.

If you pick two people at random then the probability would be:

P(Both the people own dogs) = P(first person own dogs)*P(second person own dogs)

So the probability is as calculated:  

P(Both the people own dogs)

= 0.23*0.23

= 0.0529 or 5.29%

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step-by-step explanation:

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check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.